Elliptic curve isogeny class data - 377520.bd

Formats: - HTML - YAML - JSON - 2025-10-10T14:04:10.232673

• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, -1, 0, 2, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0], 'aplist': [0, -1, -1, 2, 0, -1, 0, 2, 6, 0, 4, 2, 6, -4, 0, -6, 0, 10, -8, 0, -8, 8, -12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '377520.bd', 'trace_hash': 1848221426714088298}
• lmfdb_iso 377520.bd does not appear in ec_padic
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2350724
    {'Ciso': '377520bd', 'Clabel': '377520bd4', 'Cnumber': 4, 'abc_quality': 0.9869421687813174, 'absD': 78805892310672384000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [0, -1, 0, -2315496, -1286386704], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 9953280, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5719180294410859753041587791', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [189208196468929, 10860320250], 'lmfdb_iso': '377520.bd', 'lmfdb_label': '377520.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, -15210], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.b.1', '120.24.0.?', '132.24.0.?', '156.24.0.?', '1320.48.0.?', '1560.48.1.?', '1716.48.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.072955677771227531174548221', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 4, 1936], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67982321248195539385595486866', 'prec': 103}, 'szpiro_ratio': 4.32811831565715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2350722
    {'Ciso': '377520bd', 'Clabel': '377520bd2', 'Cnumber': 2, 'abc_quality': 0.9529644067700619, 'absD': 35759404934922240, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [0, -1, 0, -398856, 96660720], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0226118851070311296065361606', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [967068262369, 4928040], 'lmfdb_iso': '377520.bd', 'lmfdb_label': '377520.bd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -206, 1116], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.b.1', '120.24.0.?', '132.24.0.?', '156.24.0.?', '1320.48.0.?', '1560.48.1.?', '1716.48.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0243185592570758437248494069', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13051706814790054815833225016', 'prec': 103}, 'szpiro_ratio': 3.917232986064046, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2350721
    {'Ciso': '377520bd', 'Clabel': '377520bd1', 'Cnumber': 1, 'abc_quality': 1.0814038063027782, 'absD': 4075145861529600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [0, -1, 0, -11656, 3113200], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 1658880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6760382948270584748979200999', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-24137569, 561600], 'lmfdb_iso': '377520.bd', 'lmfdb_label': '377520.bd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6, 36], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.c.1', '78.24.0.?', '120.24.0.?', '132.24.0.?', '1320.48.0.?', '1560.48.1.?', '1716.48.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5121592796285379218624247034', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4719], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21605652213207210655028381054', 'prec': 107}, 'szpiro_ratio': 3.3814882239593187, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2350723
    {'Ciso': '377520bd', 'Clabel': '377520bd3', 'Cnumber': 3, 'abc_quality': 1.0889768744744426, 'absD': 2989147789056000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [0, -1, 0, 104504, -82194704], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 4976640, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2253444391611133205955427183', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [17394111071, 411937500], 'lmfdb_iso': '377520.bd', 'lmfdb_label': '377520.bd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 54, -960], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.c.1', '78.24.0.?', '120.24.0.?', '132.24.0.?', '1320.48.0.?', '1560.48.1.?', '1716.48.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.5364778388856137655872741103', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4719], [3, 4, 1936], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33324962220198273914733880786', 'prec': 103}, 'szpiro_ratio': 3.8914435343233773, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}